AbstractWe prove a lower bound of 2mn+2n−m−2 for the bilinear complexity of the multiplication of n×m-matrices with m×n-matrices using the substitution method (m⩾n⩾3). In particular, we obtain the improved lower bound of 19 for the bilinear complexity of 3×3-matrix multiplication
A tight Ω((n/M ̅ ̅√)log27M) lower bound is derived on the I/O complexity of Strassen’s algorithm to ...
AbstractAn important class of problems in arithmetic complexity is that of computing a set of biline...
In this paper we propose models of combinatorial algorithms for the Boolean Matrix Multiplication (B...
AbstractWe prove a lower bound of 2mn+2n−m−2 for the bilinear complexity of the multiplication of n×...
AbstractWe present several bilinear algorithms for the acceleration of multiplication of n X n matri...
Depuis 1960 et le résultat fondateur de Karatsuba, on sait que la complexité de la multiplication (d...
Since 1960 and the result of Karatsuba, we know that the complexity of the multiplication (of intege...
It is widely known that the lower bound for the algorithmic complexity of square matrix multiplicati...
AbstractThe complexity of matrix multiplication has attracted a lot of attention in the last forty y...
We present a non-commutative algorithm for the multiplication of a block-matrix by its transpose ove...
AbstractAlthough general theories are beginning to emerge in the area of automata based complexity t...
The Strassen algorithm for multiplying $2 \times 2$ matrices requires seven multiplications and 18 ...
Let M(n) denote the bit complexity of multiplying n-bit integers, let ω ∈ (2, 3] be an exponent for ...
The Strassen algorithm for multiplying 2 x 2 matrices requires seven multiplications and 18 addition...
AbstractWe give a constant α > 0.294 and, for any ε > 0, an algorithm for multiplying anN×Nmatrix by...
A tight Ω((n/M ̅ ̅√)log27M) lower bound is derived on the I/O complexity of Strassen’s algorithm to ...
AbstractAn important class of problems in arithmetic complexity is that of computing a set of biline...
In this paper we propose models of combinatorial algorithms for the Boolean Matrix Multiplication (B...
AbstractWe prove a lower bound of 2mn+2n−m−2 for the bilinear complexity of the multiplication of n×...
AbstractWe present several bilinear algorithms for the acceleration of multiplication of n X n matri...
Depuis 1960 et le résultat fondateur de Karatsuba, on sait que la complexité de la multiplication (d...
Since 1960 and the result of Karatsuba, we know that the complexity of the multiplication (of intege...
It is widely known that the lower bound for the algorithmic complexity of square matrix multiplicati...
AbstractThe complexity of matrix multiplication has attracted a lot of attention in the last forty y...
We present a non-commutative algorithm for the multiplication of a block-matrix by its transpose ove...
AbstractAlthough general theories are beginning to emerge in the area of automata based complexity t...
The Strassen algorithm for multiplying $2 \times 2$ matrices requires seven multiplications and 18 ...
Let M(n) denote the bit complexity of multiplying n-bit integers, let ω ∈ (2, 3] be an exponent for ...
The Strassen algorithm for multiplying 2 x 2 matrices requires seven multiplications and 18 addition...
AbstractWe give a constant α > 0.294 and, for any ε > 0, an algorithm for multiplying anN×Nmatrix by...
A tight Ω((n/M ̅ ̅√)log27M) lower bound is derived on the I/O complexity of Strassen’s algorithm to ...
AbstractAn important class of problems in arithmetic complexity is that of computing a set of biline...
In this paper we propose models of combinatorial algorithms for the Boolean Matrix Multiplication (B...
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